Pith Number

pith:YBJY3PZM

pith:2018:YBJY3PZMGA2W3CKZJ2T2WZMQUJ

not attested not anchored not stored refs pending

Product type potential on the $X\,Y$ model: selection of maximizing probability and a large deviation principle

Joana Mohr

arxiv:1805.09858 v2 · 2018-05-24 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBJY3PZMGA2W3CKZJ2T2WZMQUJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:02:19.366623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0538dbf2c30356d89594ea7ab6590a27d57d87dbba1c2cd0750b2be143ff653

Aliases

arxiv: 1805.09858 · arxiv_version: 1805.09858v2 · doi: 10.48550/arxiv.1805.09858 · pith_short_12: YBJY3PZMGA2W · pith_short_16: YBJY3PZMGA2W3CKZ · pith_short_8: YBJY3PZM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YBJY3PZMGA2W3CKZJ2T2WZMQUJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c0538dbf2c30356d89594ea7ab6590a27d57d87dbba1c2cd0750b2be143ff653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4acd0346a944b8584936ab2d5710fe4d80de88ac7cfe6a0dcf3e884b6ff319e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-24T19:18:02Z",
    "title_canon_sha256": "52ad9c1dd7b2ac2184654076e215605738993168c2a2a556754b5697fdfedba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09858",
    "kind": "arxiv",
    "version": 2
  }
}